Exercise 7 (10 points). Draw a DFA or an NFA over the alphabet {a,b,c} that only accepts strings with no c's and an even number of a's, or an odd number of c's and an odd number of b's. For example, it should accept aa, aba, abbabaa, cbacabcb, cbcca, and abc but not aca, bacc, or aaa. Exercise 8 (10 points). Draw a DFA or an NFA over the alphabet of symbols {0,1,2,3,4,5,6,7,8,9} that only accepts strings that represent numbers that are divisible by 3. For example, it should accept 0, 3, 6, 9, 12, 99, 180, and 3000, but not 1, 2, 50, or 200